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- Tasks: Translate informal proofs into Lean and collaborate on innovative formal verification projects.
- Company: Join Alignerr, a cutting-edge tech company in Edinburgh with a remote-friendly culture.
- Benefits: Enjoy competitive pay, flexible remote work, and the chance to work on advanced AI projects.
- Why this job: Make an impact in the future of mechanized mathematics and formal verification.
- Qualifications: Master’s degree in Mathematics or related field, with experience in formal proof languages.
- Other info: Ideal for problem-solvers who love precision and structural beauty in mathematics.
The predicted salary is between 52 - 110 ÂŁ per hour.
We are seeking mathematicians with deep training in rigorous proof construction and hands‑on experience with formal proof languages, especially Lean. This role sits at the intersection of mathematics and computer science, focusing on translating human‑written mathematical arguments into precise, machine‑verifiable formalizations.
What You’ll Do
- Translate informal mathematical proofs into Lean (and related proof systems) with an emphasis on clarity, structure, and correctness.
- Analyze generic and domain‑specific proofs, identifying gaps, hidden assumptions, and formalizable sub‑structures.
- Construct formalizations that test the limits of existing proof assistants, especially where tools struggle or fail.
- Collaborate with researchers to design, refine, and evaluate strategies for improving formal verification pipelines.
- Develop highly readable, reproducible proof scripts aligned with mathematical best practices and proof assistant idioms.
- Provide guidance on proof decomposition, lemma selection, and structuring techniques for formal models.
- Formalize classical proofs and compare machine‑verifiable structures against textbook arguments.
- Investigate where automated provers break down, and articulate why (complexity, missing lemmas, insufficient libraries, etc.).
- Create Lean proofs that reveal deeper patterns or generalizations implicit in the original mathematics.
Requirements
- Master’s degree (or higher) in Mathematics, Logic, Theoretical Computer Science, or a closely related field.
- Strong foundation in rigorous proof writing and mathematical reasoning across areas such as algebra, analysis, topology, logic, or discrete math.
- Hands‑on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable systems, with Lean strongly preferred.
- Deep enthusiasm for formal verification, proof assistants, and the future of mechanized mathematics.
- Ability to translate informal arguments into clean, structured formal proofs.
Preferred
- Prior experience with data annotation, data quality, or evaluation systems.
- Familiarity with type theory, Curry‑Howard correspondence, and proof automation tools.
- Experience with large‑scale formalization projects (e.g., mathlib).
- Exposure to theorem provers where automated reasoning frequently fails or requires manual scaffolding.
- Strong communication skills for explaining formalization decisions, edge cases, and reasoning strategies.
Ideal Candidate
A mathematically mature problem‑solver who enjoys working at the frontier of formal verification; someone who finds satisfaction in taking a dense, elegant human argument and expressing it in a form that a machine can understand. You appreciate precision, structural beauty, and the challenge of resolving gaps that automated tools cannot yet bridge.
Benefits
- Competitive pay and flexible remote work.
- Collaborate with a team working on cutting‑edge AI projects.
- Exposure to advanced LLMs and how they’re trained.
- Freelance perks: autonomy, flexibility, and global collaboration.
- Potential for contract extension.
Application Process (Takes 15‑20 minutes)
- Submit your resume.
- Complete a short screening.
- Project matching and onboarding.
Our team reviews applications daily. Please complete your AI interview and application steps to be considered for this opportunity.
Researcher - Lean 4 & Formal Proof Systems employer: Alignerr
Contact Detail:
Alignerr Recruiting Team
StudySmarter Expert Advice 🤫
We think this is how you could land Researcher - Lean 4 & Formal Proof Systems
✨Tip Number 1
Network like a pro! Reach out to folks in your field, especially those who work with Lean or formal proof systems. A friendly chat can lead to opportunities that aren’t even advertised yet.
✨Tip Number 2
Show off your skills! Create a portfolio of your best formal proofs and projects. This gives potential employers a taste of what you can do and sets you apart from the crowd.
✨Tip Number 3
Prepare for interviews by brushing up on common proof techniques and discussing your thought process. Being able to articulate your approach to translating informal arguments into formal proofs is key!
✨Tip Number 4
Don’t forget to apply through our website! It’s the best way to ensure your application gets seen by the right people. Plus, we review applications daily, so you won’t be left waiting long.
We think you need these skills to ace Researcher - Lean 4 & Formal Proof Systems
Some tips for your application 🫡
Show Off Your Proof Skills: When you're writing your application, make sure to highlight your experience with formal proof languages like Lean. We want to see how you've tackled complex proofs and what strategies you've used to translate informal arguments into structured formal proofs.
Be Clear and Concise: Just like in formal proofs, clarity is key! Keep your application straightforward and to the point. We appreciate well-structured applications that are easy to read, so avoid unnecessary jargon and focus on what makes you a great fit for the role.
Tailor Your Resume: Make sure your resume reflects the specific skills and experiences mentioned in the job description. We love seeing candidates who take the time to align their background with our needs, especially in areas like proof construction and formal verification.
Apply Through Our Website: Don't forget to submit your application through our website! It’s the best way for us to keep track of your application and ensure it gets the attention it deserves. Plus, it only takes 15-20 minutes, so why not?
How to prepare for a job interview at Alignerr
✨Know Your Proofs Inside Out
Make sure you’re well-versed in the formal proof languages, especially Lean. Brush up on translating informal mathematical arguments into formal proofs, as this will likely be a key focus during your interview.
✨Showcase Your Problem-Solving Skills
Prepare to discuss specific examples where you've tackled complex proofs or formalization projects. Highlight any challenges you faced and how you overcame them, especially in areas where automated tools struggled.
✨Communicate Clearly and Effectively
Practice explaining your thought process and formalization decisions. The interviewers will want to see how you articulate complex ideas, so clarity is crucial. Use simple language to describe intricate concepts.
✨Familiarise Yourself with the Team's Work
Research the current projects and methodologies used by the team at Alignerr. Being able to reference their work and express how your skills align with their goals will show your genuine interest and initiative.
